First-day Handout
Spring 2010
M408K-CNS – Differential Calculus for Scientists
MWF 10-11, CPE 2.214 (56510, 56515, 56520)
Instructor: Elizabeth Stepp, RLM 13.142, steppel@math.utexas.edu
Office hours: Mondays 12 – 1:30 pm; Wednesdays 12 – 1:30 pm
Web page: www.ma.utexas.edu/users/steppel
This course consists of three
lectures and two discussion sessions per week.
The lectures are given by the instructor and are attended by all
students enrolled in sections with any of the three unique numbers above. The discussion sessions are led by a graduate
Teaching Assistant. New material will be
covered in each lecture, and during your discussion sessions you will have the
opportunity to further your understanding of that material. You are expected to attend all five hours per
week. Your unique number determines
which of the three discussion sections is yours, as is indicated in the table
below.
|
Discussion
Section |
Teaching
Assistant for all Discussion Sections |
|||
|
Unique # |
Day |
Hours |
Bldg. Room |
David
Jensen 475-9138 |
|
56510 |
TTh |
8:30-9:30 |
RLM 5.122 |
|
|
56515 |
TTh |
11:00- 12:00 |
ENS 109 |
|
|
56520 |
TTh |
2:00 – 3:00 |
RLM 5.124 |
Office Hours: 9:30-10:30 am, TTH |
TEXT: Calculus, by Stewart, Sixth Edition.
OBJECTIVES OF COURSE: Successful students will leave
this course understanding the basic concepts and having mastered the
computational skills of integral calculus. The concepts covered will
include an introduction to the theory and applications of integral calculus of
functions of one variable. Topics include integration, the fundamental
theorem of calculus, transcendental functions, sequences, and infinite
series: 4.9 Antiderivatives, 5.1 Areas and
Distances, 5.2 The Definite Integral, 5.3 The Fundamental Theorem of Calculus,
5.4 Indefinite Integrals and the Net Change Theorem, 5.5 The Substitution Rule,
6.1 Areas Between Curves, 6.2 Volumes, 7.2/4/6 (integration of exponential and
logarithmic functions), 8.1 Integration by Parts, 8.2 Trigonometric Integrals,
8.3 Trigonometric Substitution, 8.4 Integration of Rational Functions by
Partial Fractions, 8.5 Strategy for Integration, 8.8 Improper Integrals, 12.1
Sequences, 12.2 Series, 12.3 The Integral Test, 12.4 The Comparison Tests, 12.5
Alternating Series, 12.6 Absolute Convergence and the Ratio and Root Tests,
12.7 Strategy for Testing Series, 12.8 Power Series, 12.9 Representations of
Functions of Power Series, 12.10 Taylor and Maclaurin
Series, 12.11 Applications of Taylor Polynomials, 15.3 Partial Derivatives,
16.1 Double Integrals over Rectangles, 16.2 Iterated Integrals, and16.3 Double
Integrals over General Regions.
RESTRICTIONS AND PREREQUISITES: This course is
restricted to students in the College of Natural Sciences. The prerequisite for the class is a grade of
C or better in M 408K or M 408C or equivalent.
OPTIONAL MATERIALS: A calculator is not required
for this course. While working on
homework it may be helpful to check the accuracy of your work with a
calculator. However, you should work the
problems by hand, since you may not use a calculator during quizzes
and exams.
GRADES: On exams, your grade will be computed as a
percentage: the number of points you earned divided by the number of points
possible. It is unlikely that any exam
grade will be curved. The percentages of
each type of work that will be applied to your final grade are given below. The plus/minus
option for grading will not be used in this class.
DEADLINES FOR DROPPING A COURSE: If you drop a
class on or before February 3, the class will not show up on your
transcripts. If you drop a class after that date, the course will show up
on the transcript with a “Q” grade. After February 15, your Dean must
approve drops. After March 29, it is not possible to drop a course
except for extenuating (usually non-academic) circumstances.
8/20/09
HOMEWORK: (10% of final grade)
As you are aware, you must do calculus in order to learn calculus. The expectation is that your homework will require approximately 10 hours per week of your time. We make it 10% of your grade and collect it in order to motivate you to do it. However, doing or not doing assigned homework will have much more than a 10% effect on your grade!
While the attached calendar gives an idea of when each homework assignment will be due (one paper and one online assignment for each section covered), the due dates will be determined by the date of the lecture in which I actually finish a section (see Paper homework and Online homework below). You are responsible for knowing these dates.
No late homework will be accepted. As noted below, we will drop some of the homework scores to allow for legitimate reasons for not turning in an assignment (left it at home, computer crashed the night the Quest was due, ill with the flu, didn’t get the assignment in time, didn’t know the due date, did the wrong assignment, family emergency, etc.) Please do not ask if we will accept a late assignment. We will not.
Paper homework: In each discussion session, we will collect one (or sometimes two) homework assignments from the text, and will grade selected problems. An assignment from a section of the book covered during lecture will be due at the end of the first discussion session that follows. Be aware: this means that half the time an assignment will be due tomorrow if it was covered today. In order to receive credit for an assignment, you must show all of your work, the homework paper must be stapled with no ragged edges (such as those on papers torn from a spiral notebook), your exercises must be well-labeled, neat, and in order, and your assignment must be turned in during the discussion section in which you are registered. There will be approximately 30 such assignments (one for each section of the book covered); your highest 25 scores will count towards your grade. This homework comprises 5% of your final grade. You may view homework assignments at
www.ma.utexas.edu/academics/courses/m408l_cns/_408l4cns_hwk.php.
Online homework: Online homework will be assigned from each section of the text via the Web using the UT Homework Service, Quest; all answers and grades will be returned via the Web also using Quest. Assignments will be posted before the material is covered during lecture, and will be due at midnight following the first discussion session after the material is covered during lecture. There will be approximately 30 assignments (one for each section of the book covered); your highest 25 scores will count towards your grade. This homework also comprises 5% of your final grade. You may download QUEST information at www.ma.utexas.edu/dev/math/Courses/M408K/QuestStudentHandout.pdf .
EXAMS: (90% of final grade)
You must bring a valid photo
ID to all exams.
Regular
semester exams: There will be three exams during the regular semester,
each covering about 1/3 of the course material.
Some of the questions on each exam will be multiple choice,
like problems on the QUEST homework system, and some will require that you show
your work, like problems on the homework.
These 50 minute exams are given in our regular lecture hall during class. Each exam will comprise 20% of your final
grade.
Final exam: You will have
a comprehensive final exam during finals week. This exam is given in the
evening in a room different from the lecture hall, on a day that we will not
know until the end of the semester. Each
exam will comprise 30% of your final grade.
Makeup exams are given only at the
discretion of your instructor, and only for serious reasons such as
In order to have any hope of
being allowed to take a makeup exam, you must contact the instructor via email before the exam (if physically
possible), and have documentation indicating your inability to take the exam at
the scheduled time. As examples, family
members buying you airline tickets for travel on the day of an exam is not an
appropriate reason to miss an exam, and lack of planning on your part does not
constitute an emergency.
STUDENTS WITH DISABILITIES: Upon request,
the University of Texas at Austin provides appropriate academic accommodations
for qualified students with disabilities. For more information, contact the Office of
the Dean of Students at 471-6259 or 471-6441 TTY. Students who are approved for the University’s Learning Disability Policy,
and who submit the appropriate paperwork to the instructor before the exam,
will be allowed to take the exam under the arrangements made by you and
your instructor. The time allowed for an
exam depends upon the student’s paperwork.
ATTENDANCE: This course is structured with the
expectation that you will attend every lecture and discussion session, and your
grade will benefit from your attendance.
Of course, sometimes an absence is necessary. In such a situation, you should contact a
classmate to get notes and information for the class you missed. Please
introduce yourself to and get the names and phone numbers of at least five
classmates.
(These are people you will email if you need to know
what homework is due and when – not me!)
ADVICE: You should think about this fact: your
instructor will write the lectures and lead the discussion in class, and will
write the exam material (which is 90% of your grade). Therefore, it will be to your advantage to
have complete lecture notes to study for exams.
Studying the book is good, and understanding the homework is necessary. However, to use a sporting analogy, doing the
homework is exercising during workouts, but taking the exam is playing the
game. On exams, you will be asked
questions that will ascertain whether you have a thorough understanding of the
material, and the easiest way to attain such understanding is to work during
class and discussion sessions, writing notes and listening and thinking and
asking questions. The homework exercises
solidify this understanding before
you take the exam.
CHEATING: Cheating
is dishonorable and disgusting. Keep in mind that most students are honest,
and honest students do not like cheaters, and often report what they see. If you are caught cheating, you will be
penalized as harshly as possible under the rules of UT. Do not cheat.
Drop-in tutoring (free) and
private tutoring (not free) for M408K are available in the UT Learning Center
in Jester A332 (http://utlc.utexas.edu), as well as some free workshops and
classes.
Your instructor and your TA
have office hours, and are happy to meet with you and help you. You should take advantage of this
access.